Pith Number

pith:ZIWFJTL2

pith:2013:ZIWFJTL2G7YGPRHGMDTDPJYVO3

not attested not anchored not stored refs pending

Phase Transition And Hexagonal Patterns In Rich Stimulant Diffusion-Chemotaxis Model

Masoud Yari

arxiv:1311.5199 v2 · 2013-11-20 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZIWFJTL2G7YGPRHGMDTDPJYVO3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:04:22.233383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca2c54cd7a37f067c4e660e637a71576de62ac402ea0074a3f4f4e36317df824

Aliases

arxiv: 1311.5199 · arxiv_version: 1311.5199v2 · doi: 10.48550/arxiv.1311.5199 · pith_short_12: ZIWFJTL2G7YG · pith_short_16: ZIWFJTL2G7YGPRHG · pith_short_8: ZIWFJTL2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZIWFJTL2G7YGPRHGMDTDPJYVO3 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ca2c54cd7a37f067c4e660e637a71576de62ac402ea0074a3f4f4e36317df824

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c1804735f3370d4c70a025d9be5401671866cbb7b7f3de5ac7807b8810a43ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-20T20:10:28Z",
    "title_canon_sha256": "ff3cb52de4a4bf54aa7986885ecceddad21ea077390eb6dce12ba578ff37c89e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5199",
    "kind": "arxiv",
    "version": 2
  }
}